Step 1: Prepare data
- Make four fake variables (
name
, math
,
stat
, gender
) and merge them into data frame,
named df1
# Make 4 variables
name <- c("Joe", "Ze'ev", "David", "Mike", "Ross", "Woojin", "Inha", "Jih-wen",
"Mark", "Dennis", "Carol", "Shira", "Mimi", "Amital", "Rachel", "Ariel",
"Kelly", "RongRong", "Kathy", "Barbara")
math <- c(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 4, 5, 6, 7, 9, 8, 9, 8, 10)
stat <- c(2, 4, 6, 5, 7, 9, 7, 10, 12, 15, 14, 13, 12, 13, 11, 10, 9, 8, 6, 4)
gender <- c("Male", "Male", "Male", "Male", "Male", "Male", "Male", "Male", "Male",
"Male", "Female", "Female", "Female", "Female", "Female", "Female",
"Female", "Female", "Female", "Female")
# Merge the 4 variables into data frame, df1
df1 <- tibble(name, math, stat, gender)
- Let’s check how
df1
looks like
df1
# A tibble: 20 × 4
name math stat gender
<chr> <dbl> <dbl> <chr>
1 Joe 1 2 Male
2 Ze'ev 2 4 Male
3 David 3 6 Male
4 Mike 4 5 Male
5 Ross 5 7 Male
6 Woojin 6 9 Male
7 Inha 7 7 Male
8 Jih-wen 8 10 Male
9 Mark 9 12 Male
10 Dennis 10 15 Male
11 Carol 2 14 Female
12 Shira 4 13 Female
13 Mimi 5 12 Female
14 Amital 6 13 Female
15 Rachel 7 11 Female
16 Ariel 9 10 Female
17 Kelly 8 9 Female
18 RongRong 9 8 Female
19 Kathy 8 6 Female
20 Barbara 10 4 Female
Assign data: ggplot()
- You need to do
mapping
, meaning assigning data within
aes()
ggplot()
has two arguments: data
and
mapping
- First, let’s assign
df1
as data to use
- Then, we can see the canvas where we draw a graph
ggplot(data = df1)
![](data:image/png;base64,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)
- We can see a blank canvas
Step 3: Select a graph
- You choose a geometric object,
geom_point()
to draw a
scatter plot
- You can add
geom_point()
by using +
ggplot(data = df1) +
aes(x = math, y = stat) +
geom_point()
![](data:image/png;base64,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)
aes(x = math, y = stat)
is an independent layer
- But, you can put
aes(x = math, y = stat)
within
geom_point()
- This means that you map
aes()
within
geom_point()
- Within
geom_point()
, you need to map by tying
mapping =
- Within
aes()
, you need to link each element (such as a
dot, line, or surface) to a particular variable
→ Here, we link x axis
is linked to math
,
y axis
is linked to stat
, and each dots are
colored by gender
ggplot(data = df1) +
geom_point(mapping = aes(x = math,
y = stat,
color = gender))
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)
- Both
data =
and mapping =
are the first
argument and they are omissible
→ You can rewrite the R code above as follows:
ggplot(df1) +
geom_point(aes(x = math,
y = stat,
color = gender))
- Further, by using the pipe operator (
%>%
or
|>
), you can rewrite it as follows:
- You can use the pipe operator (
%>%
or
|>
) to link command together.
- This tell
R
to do something and then something else to
the output of the first something.
- Chaining functions together like this will become very useful as
your tasks become more complicated.
df1 %>%
ggplot() +
geom_point(aes(x = math,
y = stat,
color = gender))
Mapping aes()
and omission of R code
Summary on mapping
aes()
・In
Step 2: Assign the variables
,
aes(x = math, y = stat)
is added by +
after
ggplot(data = df1)
ggplot(data = df1) +
aes(x = math, y = stat) +
geom_point()
aes(x = math, y = stat)
can not only be added within ggplot()
、but also be added
within geom_point()
- In sum, you have two ways of mapping
aes()
:
Mapping aes()
within ggplot()
df1 %>%
ggplot(aes(x = math,
y = stat,
color = gender) +
geom_point()
Mapping aes()
within geom_plot()
df1 %>%
ggplot() +
geom_point(aes(x = math,
y = stat,
color = gender))
- Which way you choose all depends on what you want to do in your
analysis
How pipes (%>%
or
|>
) are used ・The pipes (%>%
or
|>
) allow you to express a sequence of multiple
operations
・%>%
and |>
can be used
interchangeably.
・Pipes can greatly simplify your code and make your operations more
intuitive
・The pipe operator (%>%
) is automatically imported as
part of the {tidyverse
} library
・Pipes (%>%
) are included in {magrittr
}
package
・{magrittr
} package is included in
{tidyverse}
package
→ You need to read either of the following packages to use the pipe
operator (%>%
)
library(magrittr)
library(tidyverse)
The pipe operator
(%>%
) automatically passes the output from the first
line into the next line as the input
- You can use the pipe operator (
%>%
) to link command
together.
- This tell
R
to do something and then something else to
the output of the first something.
- Chaining functions together like this will become very useful as
your tasks become more complicated.
Let’s take a look at an exmple of using the pipe
- Generate vectors from 1 to 10
1:10
[1] 1 2 3 4 5 6 7 8 9 10
- Calculate
1 + 2 + .... + 10
sum(1:10)
[1] 55
- If you use pipe (
%>%
), you write R code as
follows:
1:10 %>% # Generate vectors from 1 to 10
sum() # Add them all
[1] 55
- If you want to calculate the square root, …
1:10 %>%# Generate vectors from 1 to 10
sum() %>% # Add them all
sqrt() # Calculate the square root
[1] 7.416198
- Generate vectors from 1 to 10 → Add them all → Calculate the square
root
- This is easier to interpret the sequence of operations
If you don’t use pipes,…
sqrt(sum(1:10))
[1] 7.416198
- This is less intuitive because you have to think backward
- Calculate the square roof ← Add them all ← Generate vectors
How to interpret R code with pipes
(%>%
) ・You can interpret the R code you made in
4.1 A simple scatter plot
as follows:
df1 %>% # Use df1 as data
ggplot(aes(x = math, # Assign x = math
y = stat, # Assign y = stat
color = gender)) + # Dots are colored by gender
geom_point() # Draw a scatter plot
・df1 %>% ggplot()
means the first argument of
ggplot
() is df1
Interpretation of the
R code:
・Use df1
as data
→ Assign x = math
→ Assign y = stat
→ Dots are colored by gender
→ Draw a scatter plot
・You don’t have to go backward in interpreting the R code
・R code with pipes (%>%
) are intuitive and easy to
follow